Write an equation for a rational function with the given characteristics. Vertical asymptotes at $$ x = - 1 $$ and $$ x = 4 , x $$ -intercepts at $$ ( - 5,0 ) $$ and $$ ( 3,0 ) $$ , horizontal asymptote at $$ y = - 6 $$ Enclose numerators and denominators in parentheses. For example, $$ ( a - b ) / ( 1 + n ) $$ . Include a multiplication sign between symbols. For example, $$ a ^ { * } x $$ . $$f ( x ) = $$_____Note: There is a sample student explanation to this question given in the feedback to this question.

Question

Write an equation for a rational function with the given characteristics.  Vertical asymptotes at $$ x = - 1 $$ and $$ x = 4 , x $$ -intercepts at $$ ( - 5,0 ) $$ and $$ ( 3,0 ) $$ , horizontal asymptote at $$ y = - 6 $$  Enclose numerators and denominators in parentheses. For example, $$ ( a - b ) / ( 1 + n ) $$ . Include a multiplication sign between symbols. For example, $$ a ^ { * } x $$ .  $$f ( x ) = $$_____Note: There is a sample student explanation to this question given in the feedback to this question.

Romero Fuentes · Accepted Answer

$$\frac{- 6x^2- 12x+ 90}{x^2- 3x- 4}$$

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